A new alternating group explicit-implicit algorithm with high accuracy for dispersive equation

• Published in: Applied mathematics and mechanics Vol. 29; no. 9; pp. 1221 - 1230
• Main Author: 张青洁 王文洽
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.09.2008; School of Mathematics,Shandong University,Jinan 250100,P.R.China
• Subjects: Accuracy; Age; Algorithms; Applications of Mathematics; Boundary conditions; Classical Mechanics; Convergence; Fluid- and Aerodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Truncation errors; 交替期; 偏微方程式; 准确度; 数值分析; parallel computation; 65M06; alternating group explicit-implicit method(nAGEI); unconditional stability; high accuracy; Dispersive equation; O241.82; finite difference; 65M12; 65Y05
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-008-0911-y

In this paper, a new alternating group explicit-implicit （nAGEI） scheme for dispersive equations with a periodic boundary condition is derived. This new unconditionally stable scheme has a fourth-order truncation error in space and a convergence ratio faster than some known alternating methods such as ASEI and AGE. Comparison in accuracy with the AGEI and AGE methods is presented in the numerical experiment.